An SG's neck is very fragile even now! I had a Yamaha SG2000 which had a neck very similar to the 60's Gibson style you find on an SG (too small for me) but it's less fragile due to ebony board and thru neck - this would be my first suggestion due to value (great rib contour as a bonus). I'd also recommend ESP too as the build and neck are chunkier, but the looks aren't to everyone's taste.
Gibson SG's are fizzy sounding so they benefit heavily from pedals and EQ'ing, a roasted maple fretboard would create a more brittle sound...a guitar like that needs a rosewood board to round out the tone - If that's want you want i'd go Charvel Jackson. I'd look to a 2nd hand Les Paul Special/Junior VOS too if you want some more beef and body. I'm considering a VOS Les Paul 57/58/59 but the GAS comes and goes; some days I think humbuckers have a monotonous tone and others... Damn I'd like to attempt some Larry Carlton on one o them!
You'll always return to a strat or tele though, just like a jazz or precision